Holiday Reflection #3

LAST HOLIDAY BLOG!!!

So it will be yet another review blog. This is a review on Rolle’s Theorem…or is it Roole’s Theorem? Well that is unimportant, here’s how ya do it:
Use these steps:

1.) Make sure the function is continuous
2.) If it is continuous make sure that it is differentiable
3.) Make sure that the y - values match
4.) Take derivative and set equal to 0, then solve for x

Here is an example:

x^2 - 2 x Find all values c in the interval ( -2, 2 ) such that f'( c ) = 0
1. yes
2. yes
3. f( -2 ) = -2^2 - 2( -2 ) = 8
f( 2 ) = ( 2 )^2 - 2( 2 ) = 8
4. 2x – 2 = 0
2x = 2
X = 1
So x = 0 is your min and x = 8 is your max because they are the greatest an least out of all your values